Estimation of Multiple Point Sources for Linear Fractional Order Systems Using Modulating Functions

Zehor Belkhatir, Taous-Meriem Laleg-Kirati

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper proposes an estimation algorithm for the characterization of multiple point inputs for linear fractional order systems. First, using polynomial modulating functions method and a suitable change of variables the problem of estimating the locations and the amplitudes of a multi-pointwise input is decoupled into two algebraic systems of equations. The first system is nonlinear and solves for the time locations iteratively, whereas the second system is linear and solves for the input’s amplitudes. Second, closed form formulas for both the time location and the amplitude are provided in the particular case of single point input. Finally, numerical examples are given to illustrate the performance of the proposed technique in both noise-free and noisy cases. The joint estimation of pointwise input and fractional differentiation orders is also presented. Furthermore, a discussion on the performance of the proposed algorithm is provided.
Original languageEnglish (US)
Pages (from-to)7-12
Number of pages6
JournalIEEE Control Systems Letters
Volume2
Issue number1
DOIs
StatePublished - Jun 28 2017

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